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Simplifying 3(8x + -4) + 2(2x + -4) = 100 Reorder the terms: 3(-4 + 8x) + 2(2x + -4) = 100 (-4 * 3 + 8x * 3) + 2(2x + -4) = 100 (-12 + 24x) + 2(2x + -4) = 100 Reorder the terms: -12 + 24x + 2(-4 + 2x) = 100 -12 + 24x + (-4 * 2 + 2x * 2) = 100 -12 + 24x + (-8 + 4x) = 100 Reorder the terms: -12 + -8 + 24x + 4x = 100 Combine like terms: -12 + -8 = -20 -20 + 24x + 4x = 100 Combine like terms: 24x + 4x = 28x -20 + 28x = 100 Solving -20 + 28x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 28x = 100 + 20 Combine like terms: -20 + 20 = 0 0 + 28x = 100 + 20 28x = 100 + 20 Combine like terms: 100 + 20 = 120 28x = 120 Divide each side by '28'. x = 4.285714286 Simplifying x = 4.285714286
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